9 citations · 12 across the 4 of their papers we have counts for
4 papers
The Geometry of Generalised Spin Spinors on Projective Spaces
Diego Artacho, Jordan Hofmann
In this paper, we adapt the characterisation of the spin representation via exterior forms to the generalised spin context. We find new invariant spin spinors on the projec…
-Killing Spinors and Spinorial Duality for Homogeneous 3--Sasaki Manifolds
Ilka Agricola, Jordan Hofmann
We show that --Sasaki manifolds admit solutions of a certain new spinorial field equation (the -Killing equation) generalizing the well-known Killing spinors…
Homogeneous Sasakian and 3-Sasakian Structures from the Spinorial Viewpoint
Jordan Hofmann
We give a spinorial construction of Sasakian and 3-Sasakian structures in arbitrary dimension, generalizing previously known results in dimensions 5 and 7. Furthermore, we obtain a…
Invariant Spinors on Homogeneous Spheres
Ilka Agricola, Jordan Hofmann, Marie-Amélie Lawn
Using the characterization of the spin representation in terms of exterior forms, we give a complete classification of invariant spinors on the nine homogeneous realizations of the…